Speaker
Anatoly Obzhirov
(MPI Hamburg)
Description
Resolving gauge ambiguities for truncated matter models coupled to quantum light has received a lot of attention recently. Equivalence of the dipole gauge and the coulomb gauge Hamiltonians was achieved by properly constructing unitary operators in the truncated matter subspace. We revisit these ideas and discuss gauge invariance in a general setting, not necessarily restricted to the dipole or the coulomb gauges. Our framework is based on gauge-invariant projectors such that there is a separate basis set for each gauge. As the result, approximation error is invariant. In the end, we discuss how to build optimally truncated gauge-invariant lattice models using Machine Learning techniques.
Primary authors
Anatoly Obzhirov
(MPI Hamburg)
Angel Rubio
Michael Ruggenthaler
